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A finance journal published a study of whether the decision to invest in the sto

ID: 3200511 • Letter: A

Question

A finance journal published a study of whether the decision to invest in the stock market is dependent on IQ. Information on a sample of

153 comma 296153,296

adults living in Finland formed the database for the study. An IQ score(from a low score of 1 to a high score of 9) was determined for each Finnish citizen as well as whether or not the citizen invested in the stock market. The following table gives the number of Finnish citizens in each IQscore/investment category. Suppose one of the

153 comma 296153,296 citizens is selected at random. Complete parts a through f.

The Finnish investment and IQ data.

IQ Score

Invest in Market

No Investment

Totals

1

837

4,693

5,530

2

1,336

8,491

9,827

3

2,185

9,613

1,798

4

5,233

18,022

23,255

5

8,368

23,325

31,693

6

10,130

21,933

32,063

7

6,949

10,959

17,908

8

5,079

6,770

1,849

9

4,452

4,921

9,373

Totals

44,569

108,727

153,296

a. What is the probability that the Finnish citizen invests in the stock market?

b. What is the probability that the Finnish citizen has an IQ score of 6 or higher?

c. What is the probability that the Finnish citizen invests in the stock market and has an IQ score of 6 or

d. What is the probability that the Finnish citizen invests in the stock market or has an IQ score of 6 or higher?

e. What is the probability that the Finnish citizen does not invest in the stock market?

The probability is.... (Round to the nearest thousandth as needed.)

IQ Score

Invest in Market

No Investment

Totals

1

837

4,693

5,530

2

1,336

8,491

9,827

3

2,185

9,613

1,798

4

5,233

18,022

23,255

5

8,368

23,325

31,693

6

10,130

21,933

32,063

7

6,949

10,959

17,908

8

5,079

6,770

1,849

9

4,452

4,921

9,373

Totals

44,569

108,727

153,296

Explanation / Answer

So the answer is 0.29

IQ Score Invest in Market No Investment Totals Probability 1 837 4,693 5,530 0.151356239 2 1,336 8,491 9,827 0.135951969 3 2,185 9,613 11,798 0.185200882 4 5,233 18,022 23,255 0.225026876 5 8,368 23,325 31,693 0.264033067 6 10,130 21,933 32,063 0.315940492 7 6,949 10,959 17,908 0.388038865 8 5,079 6,770 11,849 0.428643767 9 4,452 4,921 9,373 0.474981329 Totals 44,569 108,727 153,296 0.29073818
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